Free Printable Geo Review

1.

Find the area of the shaded region

a)

100π - 200 sq units

b)

100π - 100 sq units

c)

100π sq units

d)

200 - 100π sq units

2.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

3.

Find the area of the shaded region

a)

100π - 200 sq units

b)

100π - 100 sq units

c)

100π sq units

d)

200 - 100π sq units

4.

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

a)

24,280 cubic feet

b)

16,430 cubic feet

c)

11,720 cubic feet

d)

4,480 cubic feet

5.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

6.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

7.

Reflect (3,5) over the x-axis.

a)

(2,2)

b)

(3,-5)

c)

(-3,-5)

d)

(-3,5)

8.

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

a)

The perimeter of the new triangle is ⅓ that of the original triangle

b)

The perimeter of the new triangle is 3 times that of the original triangle.

c)

The perimeter of the new triangle is 1/9 that of the original triangle.

d)

The perimeter of the new triangle is 9 times that of the original triangle

9.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

10.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

11.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

12.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

13.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

14.

What is the equation of a circle whose center is at (4,5) and whose radius is 6

a)

(x+4)² + (y+5)² = 6

b)

(x-4)² + (y-5)² = 36

c)

(x+4)² + (y+5)² = 36

d)

(x-4)² + (y-5)² = 6

15.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

16.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

17.

a)

A

b)

B

c)

C

d)

D

18.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

19.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

20.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

21.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

22.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

23.

What is the length of the side adjacent to ∠A?

a)

30

b)

40

c)

50

24.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

25.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

26.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

27.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

28.

a)

12

b)

6

c)

5

d)

18

29.

a)

128

b)

8√2

c)

16

d)

2√2

30.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

31.

Solve for x.

a)

9

b)

-7

c)

4

d)

6

32.

Solve for x.

a)

4

b)

11

c)

9

d)

7

33.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

34.

Solve for x.

a)

3

b)

6

c)

8

d)

9

35.

Solve for x.

a)

x = 5

b)

x = 3

c)

x = 14

d)

x = 1

36.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

37.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

38.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

39.

Solve for x.

a)

6

b)

8

c)

10

d)

12

40.

Find the area of the shaded region

a)

100π - 200 sq units

b)

100π - 100 sq units

c)

100π sq units

d)

200 - 100π sq units

41.

Find the midpoint of the line segment.

a)

(-2.5, 1.5)

b)

(-1.5, 2.5)

c)

(-2, 1)

d)

(2.5, -1.5)

42.

These lines are....
x=6
y=10

a)

Parallel

b)

Perpendicular

c)

Neither

43.

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

a)

24,280 cubic feet

b)

16,430 cubic feet

c)

11,720 cubic feet

d)

4,480 cubic feet

44.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

45.

What regular polygon has an exterior angle that measures 60 degrees?

a)

Square

b)

Regular Hexagon

c)

Regular Pentagon

d)

Equilateral Triangle

46.

A rope is tied to the bottom of a hot air balloon as shown. The rope makes an angle of 35⁰with the ground and is 75ft. long. How far is the bottom of the balloon from the ground to the nearest foot?

a)

43 ft.

b)

53 ft.

c)

61 ft.

d)

131 ft.

47.

Below is a drawing of Jeff’s yard. There is a circular fish pond near one corner. The diameter of the pond is 12 ft. How many square feet of grass are necessary to cover everything except the pond in Jeff’s yard?

a)

4,648 ft²

b)

4,987 ft²

c)

5,548 ft²

d)

5,887 ft²

48.

Figure ABCD is a quadrilateral. What is the value of x?

a)

15

b)

40

c)

45

d)

65

49.

Which theorem can be used to show that the two triangles below are congruent?

a)

AAA

b)

ASA

c)

SAS

d)

SSS

50.

Jeff lives on Oak Street, and Tom lives on Main Street.

a)

46 yd

b)

48 yd

c)

126 yd

d)

172 yd

51.

Cylinders A and B have the same height. The radius of cylinder A is twice the radius of cylinder B.

a)

Cylinder A has 1/2 the volume of cylinder B.

b)

Cylinder A has twice the volume of cylinder B.

c)

Cylinder A has 4 times the volume of cylinder B.

d)

Cylinder A has 8 times the volume of cylinder B.

52.

The perimeter of the square below is 36. What is the length of the diagonal, ?

a)

6

b)

9

c)

6√2

d)

9√2

53.

Triangle JKL is translated 4 units left and 5 units up. What are the coordinates of the image of point J?

a)

(2,6)

b)

(3,-3)

c)

(-6,6)

d)

(-2,6)

54.

Two parallel lines m and n, are cut by transversal t, as shown in the figure. The measure of angle 2 equals 2x + 7. The measure of angle 7 equals 3x-13, what is the measure of angle 7?

a)

20

b)

37

c)

47

d)

133

55.

Point A is located at (-1, -5). The midpoint of the line segment AB is point C(2, 3). What are the coordinates of point B?

a)

(5, 11)

b)

(1, 5)

c)

(1/2, -1)

d)

(-5, 8)

56.

Line segment AC has endpoints A(-1, -3.5) and C(5, -1). Point B is on line segment AC and is located at (0.2, -3). What is the ratio of AB:BC?

a)

1:5

b)

1:2

c)

1:4

d)

1.3:5.2

57.

A partially completed chart shows the hierarchy of a set of polygons. Select the correct answer to fill in box 3.

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Square

58.

A partially completed chart shows the hierarchy of a set of polygons. Select the correct answers to fill in boxes 4 and 5.

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Square

59.

A partially completed chart shows the hierarchy of a set of polygons. Select the correct answers to fill in box 6.

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Square

60.

Risha wants to create the perpendicular bisector of line segment AB. She places her compass on point A and opens it the width equal to the length of the line segment AB. She makes arcs above and below the line segment. What could be Trisha's next step to create the perpendicular bisector of line segment AB?

a)

connect the two arcs using a straightedge

b)

connect each arc with point B using a straightedge

c)

place the compass on the approximate midpoint and draw intersecting arcs

d)

place the compass on point B and complete the same steps that she did for point A

61.

Which diagram shows only the first step of constructing the line perpendicular to AB through point P?

a)

A

b)

B

c)

C

d)

D

62.

Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never intersect." What important piece of information is missing from Olivia's response?

a)

The lines must be straight

b)

The lines must be coplanar

c)

The lines can be noncoplanar

d)

The lines form four right angles

63.

Which term is defined as two intersecting lines that form four right angles in a plane?

a)

skew lines

b)

straight lines

c)

parallel lines

d)

perpendicular lines

64.

What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

a)

$y=\frac{-2}{5}x-3$

b)

$y=\frac{2}{5}x+3$

c)

$y=\frac{2}{5}x+\frac{4}{5}$

d)

$y=\frac{-5}{2}x+3$

65.

Square ABCD has vertices at A(1, 2) and B(3, -3). What is the slope of $\overline{BC}$ ?

a)

$\frac{-5}{2}$

b)

$\frac{2}{5}$

c)

$\frac{1}{3}$

d)

$\frac{-3}{1}$

66.

Line k has a slope of -5. Line j is perpendicular to line k and passes through the point (5, 9). Create the equation for line j.

a)

$y=\frac{1}{5}x+8$

b)

$y=-\frac{1}{5}x-8$

c)

$y=5x+2$

d)

$y=5x-2$

67.

Which one of these is the correct slope formula?

a)

b)

c)

d)

68.

Besides the pythagorean theorem, which of the following is the formula to calculate distance?

a)

b)

c)

d)

69.

Which formula is the correct one to use for midpoint?

a)

b)

c)

d)

70.

What formula helps you find the area of a circle?

a)

b)

c)

d)

71.

What is the formula for circumference of a circle?

a)

b)

c)

d)

72.

What is the formula for the area of a parallelogram?

a)

b)

c)

d)

73.

What is the formula for the area of a trapezoid?

a)

b)

c)

d)

74.

What is the formula for the area of a triangle?

a)

b)

c)

d)

75.

Volume of a prism

a)

V=⅓Bh

b)

V=¾πr²

c)

V=½bh

d)

V=Bh

76.

The following formula is for the volume of:
V=πr²h

a)

Cylinder

b)

Cone

c)

Triangular Prism

d)

Sphere

77.

Surface area of a Cylinder

a)

b)

c)

d)

78.

Volume of a Cone

a)

b)

c)

d)

79.

Volume of a Sphere

a)

b)

c)

d)

80.

Which is a rule for a reflection over the x-axis?

a)

$f\left(x,y\right)=\left(x,-y\right)$

b)

$f\left(x,y\right)=\left(-x,y\right)$

c)

$f\left(x,\ y\right)=\ \left(-y,\ x\right)$

d)

$f\left(x,\ y\right)=\ \left(y,-\ x\right)$

81.

What does the rule $f\left(x,y\right)=\left(x-6,y+4\right)$ tell you to do?

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

82.

Which rule shows a dilation with a scale factor of 2?

a)

$f\left(x,y\right)=\left(x+2,\ y+2\right)$

b)

$f\left(x,y\right)=\left(\frac{1}{2}x,\frac{1}{2}y\right)$

c)

$f\left(x,y\right)=\left(2x,2y\right)$

d)

You can't dilate a figure with a scale factor of two.

83.

Which written description matches the rule $f\left(x,y\right)=\left(-x,y\right)$

a)

Rotation 90 degrees ccw

b)

Rotation 270 degrees ccw

c)

Reflection over the x-axis

d)

Reflection over the y-axis

84.

The rule for rotation of 180 degrees is
(x, y) --> _

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

85.

The rule for rotation of 270 degrees is
(x, y) --> _

a)

(y, x)

b)

(-y, x)

c)

(y, -x)

d)

(x, -y)

86.

Write the equation of a circle with center (h,k) and radius r.

a)

x² + y² = r²

b)

(x + h)² + (y + h)² = r²

c)

(x - h)² + (y - k)² = r²

d)

(x - h)² - (h - k)² = r

87.

What is the formula for area of a regular polygon.

a)

½⋅apothem⋅perimeter

b)

a²+ b² = c²

c)

πr²

d)

√x²+y²

88.

Which line is perpendicular to
y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

89.

What is the formula for the T-method?

a)

$\frac{part\ of\ hyp}{altitude}=\frac{altitude}{whole\ hyp}$

b)

$\frac{part\ of\ hyp}{altitude}=\frac{altitude}{part\ of\ hyp}$

c)

$\frac{part\ of\ hyp}{whole\ hyp}=\frac{altitude}{part\ of\ hyp}$

d)

$\frac{part\ of\ hyp}{leg}=\frac{leg}{whole\ hyp}$

90.

In a 30-60-90 triangle, what do you multiply the short side by to get the medium side?

a)

$\sqrt{3}$

b)

$\sqrt{2}$

c)

2

d)

3

91.

In the 45-45-90 triangle, what do you multiply the leg by to get to the hypotenuse?

a)

$2$

b)

$\sqrt{2}$

c)

$\sqrt{3}$

d)

$3$

Geo Review

Total questions: 91

Worksheet time: 3hrs 2mins

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